Practical and Efficient Verification of Entanglement with Incomplete Measurement Settings
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arXiv
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| Format: | Preprint |
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2025
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| author | Seong, Jiheon Kim, Jin-Woo Seo, Seungchan Nam, Seung-Hyun Bera, Anindita Chruściński, Dariusz Rhee, June-Koo Kevin Kim, Heonoh Bae, Joonwoo |
| author_facet | Seong, Jiheon Kim, Jin-Woo Seo, Seungchan Nam, Seung-Hyun Bera, Anindita Chruściński, Dariusz Rhee, June-Koo Kevin Kim, Heonoh Bae, Joonwoo |
| contents | In this work, we present a practical and efficient framework for verifying entangled states when only a tomographically incomplete measurement setting is available-specifically, when access to observables is severely limited. We show how the experimental estimation of a small number of observables can be directly exploited to construct a large family of entanglement witnesses, enabling the efficient identification of entangled states. Moreover, we introduce an optimization approach, formulated as a semidefinite program, that systematically searches for those witnesses best suited to reveal entanglement under the given measurement constraints. We demonstrate the practicality of the approach in a proof-of-principle experiment with photon-polarization qubits, where entanglement is certified using only a fraction of the full measurement data. These results reveal the maximal usefulness of incomplete measurement settings for entanglement verification in realistic scenarios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09856 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Practical and Efficient Verification of Entanglement with Incomplete Measurement Settings Seong, Jiheon Kim, Jin-Woo Seo, Seungchan Nam, Seung-Hyun Bera, Anindita Chruściński, Dariusz Rhee, June-Koo Kevin Kim, Heonoh Bae, Joonwoo Quantum Physics Optics In this work, we present a practical and efficient framework for verifying entangled states when only a tomographically incomplete measurement setting is available-specifically, when access to observables is severely limited. We show how the experimental estimation of a small number of observables can be directly exploited to construct a large family of entanglement witnesses, enabling the efficient identification of entangled states. Moreover, we introduce an optimization approach, formulated as a semidefinite program, that systematically searches for those witnesses best suited to reveal entanglement under the given measurement constraints. We demonstrate the practicality of the approach in a proof-of-principle experiment with photon-polarization qubits, where entanglement is certified using only a fraction of the full measurement data. These results reveal the maximal usefulness of incomplete measurement settings for entanglement verification in realistic scenarios. |
| title | Practical and Efficient Verification of Entanglement with Incomplete Measurement Settings |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2512.09856 |